# Expected Value, variance and standard deviation

The number of customers waiting at any given time is described in the table below.

# of Customers X 1 2 3 4 5

Probability P(X) 0.15 0.32 0.28 0.15 0.10

Compute the expectation E(X), the variance, and the standard deviation.

Please show me calculations on how it's done without using an advanced calculator. Thank you.

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#### Solution Preview

The number of customers waiting at any given time is described in the table below.

# of Customers X 1 2 3 4 5

Probability P(X) 0.15 0.32 0.28 0.15 0.10

Please see the attached ...

#### Solution Summary

The expert computes the expected value, the variance, and the standard deviation for a probability distribution.

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